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Finding the Fourth Proportional to 10,764.16, 14,852.64 and 6,573.76

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Solution

The fourth proportional to 10,764.16, 14,852.64 and 6,573.76 is: 9,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.16 : 14,852.64 = 6,573.76 : x
  2. Step 2: Convert to fraction form
    10,764.16/14,852.64 = 6,573.76/x
  3. Step 3: Cross multiply
    10,764.16x = 14,852.64 × 6,573.76
  4. Step 4: Simplify right side
    10,764.16x = 97,637,690.73
  5. Step 5: Solve for x
    x = 97,637,690.73/10,764.16
  6. Step 6: Final answer
    x = 9,070.63

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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.