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Finding the Fourth Proportional to 7,689.95, 10,613.26 and 4,705.30

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Solution

The fourth proportional to 7,689.95, 10,613.26 and 4,705.30 is: 6,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.95 : 10,613.26 = 4,705.30 : x
  2. Step 2: Convert to fraction form
    7,689.95/10,613.26 = 4,705.30/x
  3. Step 3: Cross multiply
    7,689.95x = 10,613.26 × 4,705.30
  4. Step 4: Simplify right side
    7,689.95x = 49,938,572.28
  5. Step 5: Solve for x
    x = 49,938,572.28/7,689.95
  6. Step 6: Final answer
    x = 6,494.00

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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.