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Finding the Fourth Proportional to 10,312.86, 15,477.04 and 4,074.50

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Solution

The fourth proportional to 10,312.86, 15,477.04 and 4,074.50 is: 6,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.86 : 15,477.04 = 4,074.50 : x
  2. Step 2: Convert to fraction form
    10,312.86/15,477.04 = 4,074.50/x
  3. Step 3: Cross multiply
    10,312.86x = 15,477.04 × 4,074.50
  4. Step 4: Simplify right side
    10,312.86x = 63,061,199.48
  5. Step 5: Solve for x
    x = 63,061,199.48/10,312.86
  6. Step 6: Final answer
    x = 6,114.81

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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.