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Finding the Fourth Proportional to 10,452.30, 14,430.93 and 6,477.63

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Solution

The fourth proportional to 10,452.30, 14,430.93 and 6,477.63 is: 8,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.30 : 14,430.93 = 6,477.63 : x
  2. Step 2: Convert to fraction form
    10,452.30/14,430.93 = 6,477.63/x
  3. Step 3: Cross multiply
    10,452.30x = 14,430.93 × 6,477.63
  4. Step 4: Simplify right side
    10,452.30x = 93,478,120.55
  5. Step 5: Solve for x
    x = 93,478,120.55/10,452.30
  6. Step 6: Final answer
    x = 8,943.31

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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.