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Finding the Fourth Proportional to 10,838.90, 14,970.02 and 7,295.96

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Solution

The fourth proportional to 10,838.90, 14,970.02 and 7,295.96 is: 10,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.90 : 14,970.02 = 7,295.96 : x
  2. Step 2: Convert to fraction form
    10,838.90/14,970.02 = 7,295.96/x
  3. Step 3: Cross multiply
    10,838.90x = 14,970.02 × 7,295.96
  4. Step 4: Simplify right side
    10,838.90x = 109,220,555.79
  5. Step 5: Solve for x
    x = 109,220,555.79/10,838.90
  6. Step 6: Final answer
    x = 10,076.72

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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.