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Finding the Fourth Proportional to 6,508.13, 9,762.22 and 1,577.76

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Solution

The fourth proportional to 6,508.13, 9,762.22 and 1,577.76 is: 2,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.13 : 9,762.22 = 1,577.76 : x
  2. Step 2: Convert to fraction form
    6,508.13/9,762.22 = 1,577.76/x
  3. Step 3: Cross multiply
    6,508.13x = 9,762.22 × 1,577.76
  4. Step 4: Simplify right side
    6,508.13x = 15,402,440.23
  5. Step 5: Solve for x
    x = 15,402,440.23/6,508.13
  6. Step 6: Final answer
    x = 2,366.65

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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.