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Finding the Fourth Proportional to 10,341.61, 14,271.71 and 6,365.00

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Solution

The fourth proportional to 10,341.61, 14,271.71 and 6,365.00 is: 8,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.61 : 14,271.71 = 6,365.00 : x
  2. Step 2: Convert to fraction form
    10,341.61/14,271.71 = 6,365.00/x
  3. Step 3: Cross multiply
    10,341.61x = 14,271.71 × 6,365.00
  4. Step 4: Simplify right side
    10,341.61x = 90,839,438.00
  5. Step 5: Solve for x
    x = 90,839,438.00/10,341.61
  6. Step 6: Final answer
    x = 8,783.88

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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.