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Finding the Fourth Proportional to 10,840.51, 14,964.51 and 6,592.93

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Solution

The fourth proportional to 10,840.51, 14,964.51 and 6,592.93 is: 9,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.51 : 14,964.51 = 6,592.93 : x
  2. Step 2: Convert to fraction form
    10,840.51/14,964.51 = 6,592.93/x
  3. Step 3: Cross multiply
    10,840.51x = 14,964.51 × 6,592.93
  4. Step 4: Simplify right side
    10,840.51x = 98,660,004.33
  5. Step 5: Solve for x
    x = 98,660,004.33/10,840.51
  6. Step 6: Final answer
    x = 9,101.05

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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.