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Finding the Fourth Proportional to 10,360, 15,548.64 and 4,888

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Solution

The fourth proportional to 10,360, 15,548.64 and 4,888 is: 7,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360 : 15,548.64 = 4,888 : x
  2. Step 2: Convert to fraction form
    10,360/15,548.64 = 4,888/x
  3. Step 3: Cross multiply
    10,360x = 15,548.64 × 4,888
  4. Step 4: Simplify right side
    10,360x = 76,001,752.32
  5. Step 5: Solve for x
    x = 76,001,752.32/10,360
  6. Step 6: Final answer
    x = 7,336.08

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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.