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Finding the Fourth Proportional to 10,292.33, 14,188.85 and 7,307.07

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Solution

The fourth proportional to 10,292.33, 14,188.85 and 7,307.07 is: 10,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.33 : 14,188.85 = 7,307.07 : x
  2. Step 2: Convert to fraction form
    10,292.33/14,188.85 = 7,307.07/x
  3. Step 3: Cross multiply
    10,292.33x = 14,188.85 × 7,307.07
  4. Step 4: Simplify right side
    10,292.33x = 103,678,883.63
  5. Step 5: Solve for x
    x = 103,678,883.63/10,292.33
  6. Step 6: Final answer
    x = 10,073.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.