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Finding the Fourth Proportional to 10,752.04, 14,838.48 and 7,160.84

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Solution

The fourth proportional to 10,752.04, 14,838.48 and 7,160.84 is: 9,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.04 : 14,838.48 = 7,160.84 : x
  2. Step 2: Convert to fraction form
    10,752.04/14,838.48 = 7,160.84/x
  3. Step 3: Cross multiply
    10,752.04x = 14,838.48 × 7,160.84
  4. Step 4: Simplify right side
    10,752.04x = 106,255,981.12
  5. Step 5: Solve for x
    x = 106,255,981.12/10,752.04
  6. Step 6: Final answer
    x = 9,882.40

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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.