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Finding the Fourth Proportional to 10,457.04, 15,681 and 3,061.34

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Solution

The fourth proportional to 10,457.04, 15,681 and 3,061.34 is: 4,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.04 : 15,681 = 3,061.34 : x
  2. Step 2: Convert to fraction form
    10,457.04/15,681 = 3,061.34/x
  3. Step 3: Cross multiply
    10,457.04x = 15,681 × 3,061.34
  4. Step 4: Simplify right side
    10,457.04x = 48,004,872.54
  5. Step 5: Solve for x
    x = 48,004,872.54/10,457.04
  6. Step 6: Final answer
    x = 4,590.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.