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Finding the Fourth Proportional to 10,620.06, 14,656 and 5,904.64

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Solution

The fourth proportional to 10,620.06, 14,656 and 5,904.64 is: 8,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.06 : 14,656 = 5,904.64 : x
  2. Step 2: Convert to fraction form
    10,620.06/14,656 = 5,904.64/x
  3. Step 3: Cross multiply
    10,620.06x = 14,656 × 5,904.64
  4. Step 4: Simplify right side
    10,620.06x = 86,538,403.84
  5. Step 5: Solve for x
    x = 86,538,403.84/10,620.06
  6. Step 6: Final answer
    x = 8,148.58

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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.