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Finding the Fourth Proportional to 8,465.70, 11,681.78 and 4,688.76

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Solution

The fourth proportional to 8,465.70, 11,681.78 and 4,688.76 is: 6,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.70 : 11,681.78 = 4,688.76 : x
  2. Step 2: Convert to fraction form
    8,465.70/11,681.78 = 4,688.76/x
  3. Step 3: Cross multiply
    8,465.70x = 11,681.78 × 4,688.76
  4. Step 4: Simplify right side
    8,465.70x = 54,773,083.16
  5. Step 5: Solve for x
    x = 54,773,083.16/8,465.70
  6. Step 6: Final answer
    x = 6,470.00

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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.