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Finding the Fourth Proportional to 10,580.63, 15,870.94 and 3,655.13

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Solution

The fourth proportional to 10,580.63, 15,870.94 and 3,655.13 is: 5,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.63 : 15,870.94 = 3,655.13 : x
  2. Step 2: Convert to fraction form
    10,580.63/15,870.94 = 3,655.13/x
  3. Step 3: Cross multiply
    10,580.63x = 15,870.94 × 3,655.13
  4. Step 4: Simplify right side
    10,580.63x = 58,010,260.43
  5. Step 5: Solve for x
    x = 58,010,260.43/10,580.63
  6. Step 6: Final answer
    x = 5,482.69

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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.