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Finding the Fourth Proportional to 10,569.93, 15,857.01 and 4,726.50

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Solution

The fourth proportional to 10,569.93, 15,857.01 and 4,726.50 is: 7,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.93 : 15,857.01 = 4,726.50 : x
  2. Step 2: Convert to fraction form
    10,569.93/15,857.01 = 4,726.50/x
  3. Step 3: Cross multiply
    10,569.93x = 15,857.01 × 4,726.50
  4. Step 4: Simplify right side
    10,569.93x = 74,948,157.77
  5. Step 5: Solve for x
    x = 74,948,157.77/10,569.93
  6. Step 6: Final answer
    x = 7,090.70

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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.