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Finding the Fourth Proportional to 10,347.48, 15,509.88 and 4,799.16

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Solution

The fourth proportional to 10,347.48, 15,509.88 and 4,799.16 is: 7,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.48 : 15,509.88 = 4,799.16 : x
  2. Step 2: Convert to fraction form
    10,347.48/15,509.88 = 4,799.16/x
  3. Step 3: Cross multiply
    10,347.48x = 15,509.88 × 4,799.16
  4. Step 4: Simplify right side
    10,347.48x = 74,434,395.70
  5. Step 5: Solve for x
    x = 74,434,395.70/10,347.48
  6. Step 6: Final answer
    x = 7,193.48

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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.