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Finding the Fourth Proportional to 7,587.92, 11,389.98 and 4,307.42

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Solution

The fourth proportional to 7,587.92, 11,389.98 and 4,307.42 is: 6,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.92 : 11,389.98 = 4,307.42 : x
  2. Step 2: Convert to fraction form
    7,587.92/11,389.98 = 4,307.42/x
  3. Step 3: Cross multiply
    7,587.92x = 11,389.98 × 4,307.42
  4. Step 4: Simplify right side
    7,587.92x = 49,061,427.65
  5. Step 5: Solve for x
    x = 49,061,427.65/7,587.92
  6. Step 6: Final answer
    x = 6,465.73

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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.