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Finding the Fourth Proportional to 10,465.72, 15,698.53 and 3,802.20

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Solution

The fourth proportional to 10,465.72, 15,698.53 and 3,802.20 is: 5,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.72 : 15,698.53 = 3,802.20 : x
  2. Step 2: Convert to fraction form
    10,465.72/15,698.53 = 3,802.20/x
  3. Step 3: Cross multiply
    10,465.72x = 15,698.53 × 3,802.20
  4. Step 4: Simplify right side
    10,465.72x = 59,688,950.77
  5. Step 5: Solve for x
    x = 59,688,950.77/10,465.72
  6. Step 6: Final answer
    x = 5,703.28

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