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Finding the Fourth Proportional to 7,460.42, 10,294.17 and 4,316

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Solution

The fourth proportional to 7,460.42, 10,294.17 and 4,316 is: 5,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.42 : 10,294.17 = 4,316 : x
  2. Step 2: Convert to fraction form
    7,460.42/10,294.17 = 4,316/x
  3. Step 3: Cross multiply
    7,460.42x = 10,294.17 × 4,316
  4. Step 4: Simplify right side
    7,460.42x = 44,429,637.72
  5. Step 5: Solve for x
    x = 44,429,637.72/7,460.42
  6. Step 6: Final answer
    x = 5,955.38

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Why These Related Problems?

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