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Finding the Fourth Proportional to 11,094.84, 15,307.50 and 7,777.08

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Solution

The fourth proportional to 11,094.84, 15,307.50 and 7,777.08 is: 10,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.84 : 15,307.50 = 7,777.08 : x
  2. Step 2: Convert to fraction form
    11,094.84/15,307.50 = 7,777.08/x
  3. Step 3: Cross multiply
    11,094.84x = 15,307.50 × 7,777.08
  4. Step 4: Simplify right side
    11,094.84x = 119,047,652.10
  5. Step 5: Solve for x
    x = 119,047,652.10/11,094.84
  6. Step 6: Final answer
    x = 10,730.00

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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.