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Finding the Fourth Proportional to 10,366.95, 14,307.04 and 5,889.00

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Solution

The fourth proportional to 10,366.95, 14,307.04 and 5,889.00 is: 8,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.95 : 14,307.04 = 5,889.00 : x
  2. Step 2: Convert to fraction form
    10,366.95/14,307.04 = 5,889.00/x
  3. Step 3: Cross multiply
    10,366.95x = 14,307.04 × 5,889.00
  4. Step 4: Simplify right side
    10,366.95x = 84,254,087.02
  5. Step 5: Solve for x
    x = 84,254,087.02/10,366.95
  6. Step 6: Final answer
    x = 8,127.19

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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.