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Finding the Fourth Proportional to 10,415.59, 15,622.98 and 3,838.93

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Solution

The fourth proportional to 10,415.59, 15,622.98 and 3,838.93 is: 5,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.59 : 15,622.98 = 3,838.93 : x
  2. Step 2: Convert to fraction form
    10,415.59/15,622.98 = 3,838.93/x
  3. Step 3: Cross multiply
    10,415.59x = 15,622.98 × 3,838.93
  4. Step 4: Simplify right side
    10,415.59x = 59,975,526.61
  5. Step 5: Solve for x
    x = 59,975,526.61/10,415.59
  6. Step 6: Final answer
    x = 5,758.25

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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.