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Finding the Fourth Proportional to 10,281.92, 15,428 and 4,739.18

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Solution

The fourth proportional to 10,281.92, 15,428 and 4,739.18 is: 7,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.92 : 15,428 = 4,739.18 : x
  2. Step 2: Convert to fraction form
    10,281.92/15,428 = 4,739.18/x
  3. Step 3: Cross multiply
    10,281.92x = 15,428 × 4,739.18
  4. Step 4: Simplify right side
    10,281.92x = 73,116,069.04
  5. Step 5: Solve for x
    x = 73,116,069.04/10,281.92
  6. Step 6: Final answer
    x = 7,111.13

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