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Finding the Fourth Proportional to 7,307.64, 10,088.82 and 4,657.32

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Solution

The fourth proportional to 7,307.64, 10,088.82 and 4,657.32 is: 6,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.64 : 10,088.82 = 4,657.32 : x
  2. Step 2: Convert to fraction form
    7,307.64/10,088.82 = 4,657.32/x
  3. Step 3: Cross multiply
    7,307.64x = 10,088.82 × 4,657.32
  4. Step 4: Simplify right side
    7,307.64x = 46,986,863.16
  5. Step 5: Solve for x
    x = 46,986,863.16/7,307.64
  6. Step 6: Final answer
    x = 6,429.83

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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.