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Finding the Fourth Proportional to 11,397.35, 15,715.95 and 7,411.07

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Solution

The fourth proportional to 11,397.35, 15,715.95 and 7,411.07 is: 10,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.35 : 15,715.95 = 7,411.07 : x
  2. Step 2: Convert to fraction form
    11,397.35/15,715.95 = 7,411.07/x
  3. Step 3: Cross multiply
    11,397.35x = 15,715.95 × 7,411.07
  4. Step 4: Simplify right side
    11,397.35x = 116,471,968.51
  5. Step 5: Solve for x
    x = 116,471,968.51/11,397.35
  6. Step 6: Final answer
    x = 10,219.21

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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.