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Finding the Fourth Proportional to 10,448.60, 15,666.06 and 4,600.04

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Solution

The fourth proportional to 10,448.60, 15,666.06 and 4,600.04 is: 6,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.60 : 15,666.06 = 4,600.04 : x
  2. Step 2: Convert to fraction form
    10,448.60/15,666.06 = 4,600.04/x
  3. Step 3: Cross multiply
    10,448.60x = 15,666.06 × 4,600.04
  4. Step 4: Simplify right side
    10,448.60x = 72,064,502.64
  5. Step 5: Solve for x
    x = 72,064,502.64/10,448.60
  6. Step 6: Final answer
    x = 6,897.05

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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.