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Finding the Fourth Proportional to 10,946.65, 15,105.75 and 6,470.81

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Solution

The fourth proportional to 10,946.65, 15,105.75 and 6,470.81 is: 8,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.65 : 15,105.75 = 6,470.81 : x
  2. Step 2: Convert to fraction form
    10,946.65/15,105.75 = 6,470.81/x
  3. Step 3: Cross multiply
    10,946.65x = 15,105.75 × 6,470.81
  4. Step 4: Simplify right side
    10,946.65x = 97,746,475.92
  5. Step 5: Solve for x
    x = 97,746,475.92/10,946.65
  6. Step 6: Final answer
    x = 8,929.35

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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.