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Finding the Fourth Proportional to 10,541.90, 14,547.93 and 5,761.98

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Solution

The fourth proportional to 10,541.90, 14,547.93 and 5,761.98 is: 7,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.90 : 14,547.93 = 5,761.98 : x
  2. Step 2: Convert to fraction form
    10,541.90/14,547.93 = 5,761.98/x
  3. Step 3: Cross multiply
    10,541.90x = 14,547.93 × 5,761.98
  4. Step 4: Simplify right side
    10,541.90x = 83,824,881.70
  5. Step 5: Solve for x
    x = 83,824,881.70/10,541.90
  6. Step 6: Final answer
    x = 7,951.59

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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.