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Finding the Fourth Proportional to 10,784.84, 14,893.62 and 7,061

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Solution

The fourth proportional to 10,784.84, 14,893.62 and 7,061 is: 9,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.84 : 14,893.62 = 7,061 : x
  2. Step 2: Convert to fraction form
    10,784.84/14,893.62 = 7,061/x
  3. Step 3: Cross multiply
    10,784.84x = 14,893.62 × 7,061
  4. Step 4: Simplify right side
    10,784.84x = 105,163,850.82
  5. Step 5: Solve for x
    x = 105,163,850.82/10,784.84
  6. Step 6: Final answer
    x = 9,751.08

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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.