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Finding the Fourth Proportional to 10,530.74, 14,526.32 and 6,804.74

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Solution

The fourth proportional to 10,530.74, 14,526.32 and 6,804.74 is: 9,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.74 : 14,526.32 = 6,804.74 : x
  2. Step 2: Convert to fraction form
    10,530.74/14,526.32 = 6,804.74/x
  3. Step 3: Cross multiply
    10,530.74x = 14,526.32 × 6,804.74
  4. Step 4: Simplify right side
    10,530.74x = 98,847,830.76
  5. Step 5: Solve for x
    x = 98,847,830.76/10,530.74
  6. Step 6: Final answer
    x = 9,386.60

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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.