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Finding the Fourth Proportional to 10,335.60, 14,261.94 and 5,858.46

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Solution

The fourth proportional to 10,335.60, 14,261.94 and 5,858.46 is: 8,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.60 : 14,261.94 = 5,858.46 : x
  2. Step 2: Convert to fraction form
    10,335.60/14,261.94 = 5,858.46/x
  3. Step 3: Cross multiply
    10,335.60x = 14,261.94 × 5,858.46
  4. Step 4: Simplify right side
    10,335.60x = 83,553,005.01
  5. Step 5: Solve for x
    x = 83,553,005.01/10,335.60
  6. Step 6: Final answer
    x = 8,084.00

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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.