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Finding the Fourth Proportional to 10,533.66, 14,547.24 and 8,747.61

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Solution

The fourth proportional to 10,533.66, 14,547.24 and 8,747.61 is: 12,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.66 : 14,547.24 = 8,747.61 : x
  2. Step 2: Convert to fraction form
    10,533.66/14,547.24 = 8,747.61/x
  3. Step 3: Cross multiply
    10,533.66x = 14,547.24 × 8,747.61
  4. Step 4: Simplify right side
    10,533.66x = 127,253,582.10
  5. Step 5: Solve for x
    x = 127,253,582.10/10,533.66
  6. Step 6: Final answer
    x = 12,080.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.