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Finding the Fourth Proportional to 10,386.66, 15,556.54 and 7,280.50

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Solution

The fourth proportional to 10,386.66, 15,556.54 and 7,280.50 is: 10,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.66 : 15,556.54 = 7,280.50 : x
  2. Step 2: Convert to fraction form
    10,386.66/15,556.54 = 7,280.50/x
  3. Step 3: Cross multiply
    10,386.66x = 15,556.54 × 7,280.50
  4. Step 4: Simplify right side
    10,386.66x = 113,259,389.47
  5. Step 5: Solve for x
    x = 113,259,389.47/10,386.66
  6. Step 6: Final answer
    x = 10,904.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.