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Finding the Fourth Proportional to 10,547.54, 15,833.52 and 6,168.14

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Solution

The fourth proportional to 10,547.54, 15,833.52 and 6,168.14 is: 9,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.54 : 15,833.52 = 6,168.14 : x
  2. Step 2: Convert to fraction form
    10,547.54/15,833.52 = 6,168.14/x
  3. Step 3: Cross multiply
    10,547.54x = 15,833.52 × 6,168.14
  4. Step 4: Simplify right side
    10,547.54x = 97,663,288.89
  5. Step 5: Solve for x
    x = 97,663,288.89/10,547.54
  6. Step 6: Final answer
    x = 9,259.35

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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.