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Finding the Fourth Proportional to 10,938.84, 15,095.93 and 6,223.42

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Solution

The fourth proportional to 10,938.84, 15,095.93 and 6,223.42 is: 8,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.84 : 15,095.93 = 6,223.42 : x
  2. Step 2: Convert to fraction form
    10,938.84/15,095.93 = 6,223.42/x
  3. Step 3: Cross multiply
    10,938.84x = 15,095.93 × 6,223.42
  4. Step 4: Simplify right side
    10,938.84x = 93,948,312.68
  5. Step 5: Solve for x
    x = 93,948,312.68/10,938.84
  6. Step 6: Final answer
    x = 8,588.51

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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.