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Finding the Fourth Proportional to 7,477.83, 10,307.07 and 5,487.66

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Solution

The fourth proportional to 7,477.83, 10,307.07 and 5,487.66 is: 7,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.83 : 10,307.07 = 5,487.66 : x
  2. Step 2: Convert to fraction form
    7,477.83/10,307.07 = 5,487.66/x
  3. Step 3: Cross multiply
    7,477.83x = 10,307.07 × 5,487.66
  4. Step 4: Simplify right side
    7,477.83x = 56,561,695.76
  5. Step 5: Solve for x
    x = 56,561,695.76/7,477.83
  6. Step 6: Final answer
    x = 7,563.92

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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.