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Finding the Fourth Proportional to 10,483.96, 14,430.50 and 8,695.48

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Solution

The fourth proportional to 10,483.96, 14,430.50 and 8,695.48 is: 11,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.96 : 14,430.50 = 8,695.48 : x
  2. Step 2: Convert to fraction form
    10,483.96/14,430.50 = 8,695.48/x
  3. Step 3: Cross multiply
    10,483.96x = 14,430.50 × 8,695.48
  4. Step 4: Simplify right side
    10,483.96x = 125,480,124.14
  5. Step 5: Solve for x
    x = 125,480,124.14/10,483.96
  6. Step 6: Final answer
    x = 11,968.77

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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.