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Finding the Fourth Proportional to 7,472.36, 11,210.16 and 4,702.70

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Solution

The fourth proportional to 7,472.36, 11,210.16 and 4,702.70 is: 7,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.36 : 11,210.16 = 4,702.70 : x
  2. Step 2: Convert to fraction form
    7,472.36/11,210.16 = 4,702.70/x
  3. Step 3: Cross multiply
    7,472.36x = 11,210.16 × 4,702.70
  4. Step 4: Simplify right side
    7,472.36x = 52,718,019.43
  5. Step 5: Solve for x
    x = 52,718,019.43/7,472.36
  6. Step 6: Final answer
    x = 7,055.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.