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Finding the Fourth Proportional to 10,292.88, 15,459.98 and 6,140.99

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Solution

The fourth proportional to 10,292.88, 15,459.98 and 6,140.99 is: 9,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.88 : 15,459.98 = 6,140.99 : x
  2. Step 2: Convert to fraction form
    10,292.88/15,459.98 = 6,140.99/x
  3. Step 3: Cross multiply
    10,292.88x = 15,459.98 × 6,140.99
  4. Step 4: Simplify right side
    10,292.88x = 94,939,474.58
  5. Step 5: Solve for x
    x = 94,939,474.58/10,292.88
  6. Step 6: Final answer
    x = 9,223.81

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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.