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Finding the Fourth Proportional to 10,430.04, 14,395.98 and 6,448.76

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Solution

The fourth proportional to 10,430.04, 14,395.98 and 6,448.76 is: 8,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.04 : 14,395.98 = 6,448.76 : x
  2. Step 2: Convert to fraction form
    10,430.04/14,395.98 = 6,448.76/x
  3. Step 3: Cross multiply
    10,430.04x = 14,395.98 × 6,448.76
  4. Step 4: Simplify right side
    10,430.04x = 92,836,219.98
  5. Step 5: Solve for x
    x = 92,836,219.98/10,430.04
  6. Step 6: Final answer
    x = 8,900.85

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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.