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Finding the Fourth Proportional to 10,752.16, 14,838.96 and 6,278.08

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Solution

The fourth proportional to 10,752.16, 14,838.96 and 6,278.08 is: 8,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.16 : 14,838.96 = 6,278.08 : x
  2. Step 2: Convert to fraction form
    10,752.16/14,838.96 = 6,278.08/x
  3. Step 3: Cross multiply
    10,752.16x = 14,838.96 × 6,278.08
  4. Step 4: Simplify right side
    10,752.16x = 93,160,178.00
  5. Step 5: Solve for x
    x = 93,160,178.00/10,752.16
  6. Step 6: Final answer
    x = 8,664.32

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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.