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Finding the Fourth Proportional to 10,764, 14,859.12 and 7,580.16

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Solution

The fourth proportional to 10,764, 14,859.12 and 7,580.16 is: 10,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 14,859.12 = 7,580.16 : x
  2. Step 2: Convert to fraction form
    10,764/14,859.12 = 7,580.16/x
  3. Step 3: Cross multiply
    10,764x = 14,859.12 × 7,580.16
  4. Step 4: Simplify right side
    10,764x = 112,634,507.06
  5. Step 5: Solve for x
    x = 112,634,507.06/10,764
  6. Step 6: Final answer
    x = 10,464.00

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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.