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Finding the Fourth Proportional to 7,345.98, 10,129.32 and 5,222.16

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Solution

The fourth proportional to 7,345.98, 10,129.32 and 5,222.16 is: 7,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.98 : 10,129.32 = 5,222.16 : x
  2. Step 2: Convert to fraction form
    7,345.98/10,129.32 = 5,222.16/x
  3. Step 3: Cross multiply
    7,345.98x = 10,129.32 × 5,222.16
  4. Step 4: Simplify right side
    7,345.98x = 52,896,929.73
  5. Step 5: Solve for x
    x = 52,896,929.73/7,345.98
  6. Step 6: Final answer
    x = 7,200.80

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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.