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Finding the Fourth Proportional to 11,506.04, 15,878.02 and 6,470.13

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Solution

The fourth proportional to 11,506.04, 15,878.02 and 6,470.13 is: 8,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.04 : 15,878.02 = 6,470.13 : x
  2. Step 2: Convert to fraction form
    11,506.04/15,878.02 = 6,470.13/x
  3. Step 3: Cross multiply
    11,506.04x = 15,878.02 × 6,470.13
  4. Step 4: Simplify right side
    11,506.04x = 102,732,853.54
  5. Step 5: Solve for x
    x = 102,732,853.54/11,506.04
  6. Step 6: Final answer
    x = 8,928.60

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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.